1.Show that for a uniformly charged sphere, all multipole moments other than vanishes.

1.Show that for a uniformly charged sphere, all multipole moments other than vanishes.

2. In the multipole expansion of Coulomb potential, there are three dipole terms corresponding to . Add these three terms to explicitly show that the expression for the potential is given by .

3. A charge distribution is given by

Expand the potential due to this charge density in a multipole expansion and obtain its leading term for large distances.